For a differentiable function

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

F

, its derivative

f

satisfies

f(x)>0

and

f'(x)<0

for

1<x<5

. Which statement best describes the behavior of

F

on the interval

(1,5)

? (a)

F

is decreasing and concave down on

(1,5)

. (b)

F

is increasing and concave down on

(1,5)

. (c)

F

is increasing and concave up on

(1,5)

. (d)

F

is decreasing and concave up on

(1,5)